Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048ba |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
62777327616 = 217 · 38 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1009164,390203120] |
[a1,a2,a3,a4,a6] |
Generators |
[2238670:-28767215:2744] |
Generators of the group modulo torsion |
j |
1189519335961346/657 |
j-invariant |
L |
7.5532310395387 |
L(r)(E,1)/r! |
Ω |
0.67664002855737 |
Real period |
R |
11.162849847423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048ch4 5256h3 14016n3 |
Quadratic twists by: -4 8 -3 |